What is the Greatest Common Factor of 76923 and 76935?

Greatest common factor (GCF) of 76923 and 76935 is 3.

GCF(76923,76935) = 3

We will now calculate the prime factors of 76923 and 76935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76923 and 76935.

How to find the GCF of 76923 and 76935?

We will first find the prime factorization of 76923 and 76935. After we will calculate the factors of 76923 and 76935 and find the biggest common factor number .

Step-1: Prime Factorization of 76923

Prime factors of 76923 are 3, 7, 11, 37. Prime factorization of 76923 in exponential form is:

76923 = 3³ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 76935

Prime factors of 76935 are 3, 5, 23, 223. Prime factorization of 76935 in exponential form is:

76935 = 3¹ × 5¹ × 23¹ × 223¹

Step-3: Factors of 76923

List of positive integer factors of 76923 that divides 76923 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 37, 63, 77, 99, 111, 189, 231, 259, 297, 333, 407, 693, 777, 999, 1221, 2079, 2331, 2849, 3663, 6993, 8547, 10989, 25641

Step-4: Factors of 76935

List of positive integer factors of 76935 that divides 76923 without a remainder.

1, 3, 5, 15, 23, 69, 115, 223, 345, 669, 1115, 3345, 5129, 15387, 25645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76923 and 76935. The biggest common factor number is the GCF number.
So the greatest common factor 76923 and 76935 is 3.

Also check out the Least Common Multiple of 76923 and 76935